KPMG Past Questions And Answers


71)

At central high school each student studies exactly one foreign language. Three-fifths of the students take Spanish, and one-fourth of the remaining student take Italian. If all the others take French what percent of the student take French?

The least common denominator of and is 20, so assume that there are 20 student in Central High. (Remember the number you choose doesn’t have to be realistic.) The number of student taking Spanish is 12(3/5 of 20.) Of the remaining 8 student, 2(1/4 of 8) take Italian. The other 6 take French. Finally, 6 is 30% of 20.The answer is E.
72)

Anne drove for h hours at a constant rate of r mile per hour. How many miles did she go during the final 20 minute of her drive?

Solution
If Anne drove at 60 mile per hour for 2 hours, How far did she go in the last
20 minutes? Since 20 minute is of an hour, she went 20 of 60 miles. Only
(E) = 20 when r = 60 and h = 2. Notice that h is irrelevant. Whether Anne had
been driving for 2 hours or 20 hours, the distance she covered in her last 20
minute would be the same.
73)

If p painters can paint h houses in d days, how many houses can five painters, working at the same rate, paint in 2 days?
74)

If a school cafeteria needs c cans of soup each weeks for each student, and if there are s student in the school, for how many weeks will x cans of soup last?
75)

By how many degrees does the angle formed by the hour hand and the minute hand of a clock increase from 1:27 to 1:28?

Answer B
Solution
Draw a simple picture of a clock. The hour hand makes a complete revolution,
360°, once every 12 hours. Therefore, in 1 hour it goes through 360°÷ 12= 30°,
and in 1 minute it advances through 30°÷ 60 = 0.5°. The minute hand moves
through 30° every 5 minutes and 6° each 1 minute. Therefore, in the minute from 1:27 to 1:28 (or any other minute), the difference between the hand increases by 6
– 0.5 = 5.5 degrees. [Note that it was not necessary, and would have been more
time-consuming to determine the angles between the hands at 1:27 and 1:28 (
Don’t do more than you have to).]

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